Question

1 б и 2 помогите пожалуйста

Answer 1

$1) \: \int(7 - \frac{1}{2 {cos}^{2}x} - {x}^{2} )dx = \\ = 7x - \frac{1}{2} tgx - \frac{1}{3}{x}^{3} + c$

$2) \: \int \frac{ {x}^{ - \frac{1}{3} } - 1}{ \sqrt[3]{ {x}^{2} } } dx = \\ = \int (\frac{ {x}^{ - \frac{1}{3} } }{ {x}^{ \frac{2}{3} } } - \frac{1}{ {x}^{ \frac{2}{3} } } )dx = \\ = \int( \frac{1}{x} - {x}^{ - \frac{2}{3} } )dx = \\ = ln |x| - 3 \sqrt[3]{x} + c$

$3) \: \int \frac{cosxdx}{4 + 3sinx} { = |}^{sinx = t}_{cosxdx = dt}| = \\ = \int \frac{dt}{4 + 3t} = \frac{1}{3} ln(4 + 3t) + c = \\ = \frac{1}{3} ln(4 + 3sinx) + c$